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Finding the Fourth Proportional to 9,701.82, 14,552.82 and 6,241.50

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Solution

The fourth proportional to 9,701.82, 14,552.82 and 6,241.50 is: 9,362.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,701.82 : 14,552.82 = 6,241.50 : x
  2. Step 2: Convert to fraction form
    9,701.82/14,552.82 = 6,241.50/x
  3. Step 3: Cross multiply
    9,701.82x = 14,552.82 × 6,241.50
  4. Step 4: Simplify right side
    9,701.82x = 90,831,426.03
  5. Step 5: Solve for x
    x = 90,831,426.03/9,701.82
  6. Step 6: Final answer
    x = 9,362.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.